随机方差期权定价的统计推断

Statistical Inference for Random-Variance Option Pricing

Journal of Business & Economic Statistics · 2000
被引 53
人大 AABS 4

中文导读

研究连续时间随机波动率期权定价模型的参数估计,通过蒙特卡洛实验证明基于期权价格的估计比基于资产价格的估计更精确,且不增加计算负担。

Abstract

This article deals with the estimation of continuous-time stochastic volatility models of option pricing. We argue that option prices are much more informative about the parameters than are asset prices. This is confirmed in a Monte Carlo experiment that compares two very simple strategies based on the different information sets. Both approaches are based on indirect inference and avoid any discretization bias by simulating the continuous-time model. We assume an Ornstein-Uhlenbeck process for the log of the volatility, a zero-volatility risk premium, and no leverage effect. We do not pursue asymptotic efficiency or specification issues; rather, we stick to a framework with no overidentifying restrictions and show that, given our option-pricing model, estimation based on option prices is much more precise in samples of typical size, without increasing the computational burden.

随机波动率模型期权定价间接推断连续时间估计